One of the best weeks for a British golf trip, if you don't mind taking a major chance on the weather, is the final week of March, when the clocks have gone back (giving an extra hour of afternoon daylight) but many clubs are still offering winter green fees. 36 holes thus becomes an absolute steal, for those who want (and playing foursomes, they well might). For about twenty years I took part in a terrific tiny society outing that always, Easter permitting, tried to get those dates, and have had some of the best days ever, and best golfing weather, during that week. And, in fairness, some of the worst too, with hail, sleet, snow, 4-club freezing winds to keep everyone honest.
If you all want to stay together in the same hotel, then a March BUDA based at (say) the Trefiddian Hotel in Aberdovey, above the links, with the prospect of a lovely train ride to either Harlech or Borth & Ynyslas, could be terrific, although all three locations could best be described as 'very quiet' at that time of year. Ditto a Saunton Sands based one, although the drive to RND Westward Ho! always takes a lot longer than you might think.